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§7. THE COMPOSITION THEOREM
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L. Boutet de Monvel
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Kapitel in diesem Buch
- Frontmatter i
- TABLE OF CONTENTS v
- §1. Introduction 1
- §2. GENERALIZED TOEPLITZ OPERATORS 11
- §3. FOURIER INTEGRAL OPERATORS OF HERMITE TYPE 21
- §4. THE METAPLECTIC REPRESENTATION 27
- §5. METALINEAR AND METAPLECTIC STRUCTURES ON MANIFOLDS 35
- §6. ISOTROPIC SUBSPACES OF SYMPLECTIC VECTOR SPACES 39
- §7. THE COMPOSITION THEOREM 44
- §8. THE PROOF OF THEOREM 7.5 51
- §9. PULL-BACKS, PUSH-FORWARDS AND EXTERIOR TENSOR PRODUCTS 66
- §10. THE TRANSPORT EQUATION 77
- §11. SYMBOLIC PROPERTIES OF TOEPLITZ OPERATORS 80
- §12. THE TRACE FORMULA 90
- §13. SPECTRAL PROPERTIES OF TOEPLITZ OPERATORS 99
- §14. THE HILBERT POLYNOMIAL 110
- §15. SOME CONCLUDING REMARKS 123
- BIBLIOGRAPHY 128
- APPENDIX: QUANTIZED CONTACT STRUCTURES 131
- Backmatter 161
Kapitel in diesem Buch
- Frontmatter i
- TABLE OF CONTENTS v
- §1. Introduction 1
- §2. GENERALIZED TOEPLITZ OPERATORS 11
- §3. FOURIER INTEGRAL OPERATORS OF HERMITE TYPE 21
- §4. THE METAPLECTIC REPRESENTATION 27
- §5. METALINEAR AND METAPLECTIC STRUCTURES ON MANIFOLDS 35
- §6. ISOTROPIC SUBSPACES OF SYMPLECTIC VECTOR SPACES 39
- §7. THE COMPOSITION THEOREM 44
- §8. THE PROOF OF THEOREM 7.5 51
- §9. PULL-BACKS, PUSH-FORWARDS AND EXTERIOR TENSOR PRODUCTS 66
- §10. THE TRANSPORT EQUATION 77
- §11. SYMBOLIC PROPERTIES OF TOEPLITZ OPERATORS 80
- §12. THE TRACE FORMULA 90
- §13. SPECTRAL PROPERTIES OF TOEPLITZ OPERATORS 99
- §14. THE HILBERT POLYNOMIAL 110
- §15. SOME CONCLUDING REMARKS 123
- BIBLIOGRAPHY 128
- APPENDIX: QUANTIZED CONTACT STRUCTURES 131
- Backmatter 161